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FOCS
2009
IEEE
14 years 4 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
FOCS
2009
IEEE
14 years 4 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
FOCS
2009
IEEE
14 years 4 months ago
On the Power of Randomization in Algorithmic Mechanism Design
In many settings the power of truthful mechanisms is severely bounded. In this paper we use randomization to overcome this problem. In particular, we construct an FPTAS for multi-...
Shahar Dobzinski, Shaddin Dughmi
FOCS
2009
IEEE
14 years 4 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani
FOCS
2009
IEEE
14 years 1 months ago
Optimal Quantum Strong Coin Flipping
Coin flipping is a fundamental cryptographic primitive that enables two distrustful and far apart parties to create a uniformly random bit [Blu81]. Quantum information allows for ...
André Chailloux, Iordanis Kerenidis